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NTA Abhyas JEE Main2020MathematicsContinuity and DifferentiabilityPractice

Consider the function f x = m i n x 2 - 9 ,   x 2 - 1 , then the number of points where f x is non-differentiable is/are

Options

  1. A0
  2. B7
  3. C6
  4. D4

Correct answer

C. 6

Step-by-step solution

Using the graph of y = x 2 - 9 , y = x 2 - 1 Clearly, from the graph, we can see that f ( x ) is non-differentiable at 6 points

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